Look closely at Dr. Markway as he folds his paper at the breakfast table and you can see he is holding a cigarette in his left hand. In the very next shot, Markway is holding the cigarette in his right hand instead.
When Eleanor arrives for breakfast with Markway on the first day, her position in relation to the door changes depending upon whether it is a close or a long shot.
When Nell arrives at Hill House, she's given a room right at the top of the stairs with several obtuse angles. However, the view from the hallway afterward shows a room with right angles implying the two locations are two separate sets.
The month the film takes place is established when it is mentioned during the movie that tomorrow August 21st is the anniversary of a book's inscription. Why is everyone wearing clothing heavier than one would wear during the summer ? Tweed sport coats etc...
When Nell leaves the Boston garage, she sees a signpost that for the most part is correct with respect to route numbers and directions for the towns indicated. However, one sign refers to "US 50", and Nell then reads aloud her directions to take "US 50 from Boston and watch for the turn-off to Route 238." US 50 is nowhere near Boston; prior to the advent of the Interstate Highway System, US Route 50 was one of the principal highways that went straight through the middle of the country from Maryland on the East coast to California on the west coast. It is instead US 20 which begins in Boston and runs westward through Massachusetts before continuing across the country.
Some of the British performers audibly struggle with their American accents, and Claire Bloom completely slips out of it on occasion, most notably during the argument in the dining room over the mysterious chalk writing.
The character of Dr. Markway was limited by the ill-informed writers of the script. He tells Theo that the word "ghoulish" is used to describe a feeling of horror, when in fact it refers to people who have an abnormal affinity for corpses and death. He also says ghosts are strictly visible, which is not true. He tells Luke that the Montuzi Bushmen were responsible for the superstition of throwing salt over the shoulder, when in fact it began in biblical times. He claims that cold spots will not register on any thermometer, when in fact they do.
After dinner, Luke heads off to his room at the end of the hall and turns left. After the the cold spot is discovered, he turns right for his room at the end of the hall.